5 men, 25 women, and 70 children

Xpress-Mosel Model

model 'abpuzzle'

! Description  : The Abbott's Puzzle
! Source       : Dudeney, H.E., (1917), Amusements in Mathematics, Thomas Nelson and Sons.  
! Date written : 29/11/99
! Written by   : M J Chlond 

  uses 'mmxprs'

  declarations
     S = 1..3
     amount: array(S) of real
     x: array(S) of mpvar
  end-declarations

  amount:= [3,2,.5]

  any:= x(1)

  con1:= sum(i in S) amount(i)*x(i) = 100
  con2:= sum(i in S) x(i) = 100
  con3:= x(2) = 5*x(1)

  forall(i in S)
    x(i) is_integer

  minimise(any)

  forall(i in S)
    write(getsol(x(i)),' ')
    
end-model